Built on

J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys. Rept. 323
2000
Earlier work this paper cites.
M. A. Nielsen and I. Chuang, Quantum computation and quantum information , 2002
2002
Earlier work this paper cites.
Springer, 2003
M. I. Gil, Operator functions and localization of spectra · 2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy , JHEP 08
2006
Earlier work this paper cites.
M. A. Nielsen, M. R. Dowling, M. Gu and A. C. Doherty, Quantum computation as geometry , Science 311
2006
Earlier work this paper cites.
M. A. Nielsen, A geometric approach to quantum circuit lower bounds , Quantum Info. Comput. 6
2006
Earlier work this paper cites.
M. R. Dowling and M. A. Nielsen, The geometry of quantum computation , Quantum Info. Comput. 8
2008
Earlier work this paper cites.
M. Van Raamsdonk, Building up spacetime with quantum entanglement , Gen. Rel. Grav. 42
Original
2010
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T. Hartman and J. Maldacena, Time Evolution of Entanglement Entropy from Black Hole Interiors , JHEP 05
Original
2013
Earlier work this paper cites.
Springer Science & Business Media, 2013
R. Bhatia, Matrix analysis , vol. 169 · 2013
Earlier work this paper cites.
N. Lashkari, M. B. McDermott and M. Van Raamsdonk, Gravitational dynamics from entanglement ’thermodynamics’ , JHEP 04
Original
2014
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T. Faulkner, M. Guica, T. Hartman, R. C. Myers and M. Van Raamsdonk, Gravitation from Entanglement in Holographic CFTs , JHEP 03
Original
2014
Earlier work this paper cites.
D. Stanford and L. Susskind, Complexity and Shock Wave Geometries , Phys. Rev. D90
Original
2014
Earlier work this paper cites.
Cambridge University Press, Cambridge, 2015
M. Ammon and J. Erdmenger, Gauge/gravity duality · 2015
Earlier work this paper cites.
D. A. Roberts, D. Stanford and L. Susskind, Localized shocks , JHEP 03
Original
2015
Earlier work this paper cites.
M. Alishahiha, Holographic Complexity , Phys. Rev. D92
Original
2015
Earlier work this paper cites.
M. Miyaji, T. Numasawa, N. Shiba, T. Takayanagi and K. Watanabe, Distance between Quantum States and Gauge-Gravity Duality , Phys. Rev. Lett. 115
Original
2015
Earlier work this paper cites.
L. Susskind, Entanglement is not enough , Fortsch. Phys. 64
Original
2016
Earlier work this paper cites.

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L. Susskind, Computational Complexity and Black Hole Horizons , Fortsch. Phys. 64
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Cited alongside, same era.
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A. R. Brown and L. Susskind, Second law of quantum complexity , Phys. Rev. D97
Original
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Closest in time.
Y. Zhao, Uncomplexity and Black Hole Geometry , Phys. Rev. D97
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2018

Circuit Complexity for Coherent States

Guo, Minyong, Hernandez, Juan, Myers, Robert C. et al.

Understand

We examine the circuit complexity of coherent states in a free scalar field theory, applying Nielsen's geometric approach as in [1].

The complexity of the coherent states have the same UV divergences as the vacuum state complexity and so we consider the finite increase of the complexity of these states over the vacuum state.
One observation is that generally, the optimal circuits introduce entanglement between the normal modes at intermediate stages even though our reference state and target states are not entangled in this basis.
We also compare our results from Nielsen's approach with those found using the Fubini-Study method of [2].

Built on

J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys. Rept. 323
2000
Earlier work this paper cites.
M. A. Nielsen and I. Chuang, Quantum computation and quantum information , 2002
2002
Earlier work this paper cites.
Springer, 2003
M. I. Gil, Operator functions and localization of spectra · 2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy , JHEP 08
2006
Earlier work this paper cites.
M. A. Nielsen, M. R. Dowling, M. Gu and A. C. Doherty, Quantum computation as geometry , Science 311
2006
Earlier work this paper cites.
M. A. Nielsen, A geometric approach to quantum circuit lower bounds , Quantum Info. Comput. 6
2006
Earlier work this paper cites.
M. R. Dowling and M. A. Nielsen, The geometry of quantum computation , Quantum Info. Comput. 8
2008
Earlier work this paper cites.
M. Van Raamsdonk, Building up spacetime with quantum entanglement , Gen. Rel. Grav. 42
Original
2010
Earlier work this paper cites.
T. Hartman and J. Maldacena, Time Evolution of Entanglement Entropy from Black Hole Interiors , JHEP 05
Original
2013
Earlier work this paper cites.
Springer Science & Business Media, 2013
R. Bhatia, Matrix analysis , vol. 169 · 2013
Earlier work this paper cites.
N. Lashkari, M. B. McDermott and M. Van Raamsdonk, Gravitational dynamics from entanglement ’thermodynamics’ , JHEP 04
Original
2014
Earlier work this paper cites.
T. Faulkner, M. Guica, T. Hartman, R. C. Myers and M. Van Raamsdonk, Gravitation from Entanglement in Holographic CFTs , JHEP 03
Original
2014
Earlier work this paper cites.
D. Stanford and L. Susskind, Complexity and Shock Wave Geometries , Phys. Rev. D90
Original
2014
Earlier work this paper cites.
Cambridge University Press, Cambridge, 2015
M. Ammon and J. Erdmenger, Gauge/gravity duality · 2015
Earlier work this paper cites.
D. A. Roberts, D. Stanford and L. Susskind, Localized shocks , JHEP 03
Original
2015
Earlier work this paper cites.
M. Alishahiha, Holographic Complexity , Phys. Rev. D92
Original
2015
Earlier work this paper cites.
M. Miyaji, T. Numasawa, N. Shiba, T. Takayanagi and K. Watanabe, Distance between Quantum States and Gauge-Gravity Duality , Phys. Rev. Lett. 115
Original
2015
Earlier work this paper cites.
L. Susskind, Entanglement is not enough , Fortsch. Phys. 64
Original
2016
Earlier work this paper cites.

Similar

L. Susskind, Computational Complexity and Black Hole Horizons , Fortsch. Phys. 64
Original
2016
Cited alongside, same era.
A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle and Y. Zhao, Holographic Complexity Equals Bulk Action? , Phys. Rev. Lett. 116
Original
2016
Cited alongside, same era.
A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle and Y. Zhao, Complexity, action, and black holes , Phys. Rev. D93
Original
2016
Cited alongside, same era.
R.-G. Cai, S.-M. Ruan, S.-J. Wang, R.-Q. Yang and R.-H. Peng, Action growth for AdS black holes , JHEP 09
Original
2016
Cited alongside, same era.
L. Lehner, R. C. Myers, E. Poisson and R. D. Sorkin, Gravitational action with null boundaries , Phys. Rev. D94

Then

A. R. Brown and L. Susskind, Second law of quantum complexity , Phys. Rev. D97
Original
2018
Closest in time.
Y. Zhao, Uncomplexity and Black Hole Geometry , Phys. Rev. D97
Original
2018
Closest in time.
M. Moosa, Evolution of Complexity Following a Global Quench , JHEP 03
Original
2018
Closest in time.
Z. Fu, A. Maloney, D. Marolf, H. Maxfield and Z. Wang, Holographic complexity is nonlocal , JHEP 02
Original
2018
Closest in time.
Y.-S. An and R.-H. Peng, Effect of the dilaton on holographic complexity growth , Phys. Rev. D97
Original
2018

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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Original

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Cited alongside, same era.

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